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Finding the Third Proportional to 9,512.44 and 14,111.72

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Solution

The third proportional to 9,512.44 and 14,111.72 is: 20,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.44 : 14,111.72 = 14,111.72 : x
  2. Step 2: Convert to fraction form
    9,512.44/14,111.72 = 14,111.72/x
  3. Step 3: Cross multiply
    9,512.44x = 14,111.72 × 14,111.72
  4. Step 4: Simplify right side
    9,512.44x = 199,140,606.08
  5. Step 5: Solve for x
    x = 199,140,606.08/9,512.44
  6. Step 6: Final answer
    x = 20,934.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.